In this paper, elastodynamic responses of the layered transversely isotropic unsaturated subgrade–pavement system subjected to the moving load are investigated. The unsaturated subgrade soil is described via a triphasic Biot-type model introducing the effect of matric suction, immiscible flows of water and air, and transverse isotropy. The rigid pavement is modeled by the Kirchhoff plate theory, while the flexible pavement is modeled by the stratification medium theory. First, the governing equations of the unsaturated subgrade soil are obtained after algebraical manipulations. The precise integration method (PIM) is further combined with the double Fourier transform to solve the governing equations. The subgrade soil solution is utilized as the flexible coefficient to describe the plate–soil interaction, and the solution of the pavement is further acquired via the double inverse Fourier transform. Four verification examples regarding literatures and COMSOL are presented to verify the correctness of the theory. Finally, numerical examples are conducted to investigate the effect of various parameters on the dynamic behavior of the unsaturated subgrade–pavement system.

中文翻译：

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横向各向同性非饱和路基-路面系统在移动荷载作用下的弹性动力学分析

在本文中，研究了层状横向各向同性非饱和路基路面系统在移动荷载作用下的弹性动力响应。非饱和路基土通过引入基质吸力、水和空气不混溶流动以及横向各向同性的影响的三相 Biot 型模型进行描述。刚性路面采用基尔霍夫板理论建模，柔性路面采用分层介质理论建模。首先，通过代数运算得到非饱和路基土的控制方程。精确积分法（PIM）进一步与双傅里叶变换相结合，求解控制方程。采用路基土溶液作为弹性系数来描述板土相互作用，通过双傅里叶逆变换进一步得到路面的解。给出了四个关于文献和 COMSOL 的验证实例来验证理论的正确性。最后，通过数值算例研究了各种参数对非饱和路基-路面系统动力行为的影响。